Question

A point is plotted on the number line at 2 2/5 . A second point is plotted at −4 3/4 . What is the length of a line segment joining these points? Enter your answer as a simplified mixed number in the box.

Answer 1

Distance=

`\\ \sf\longmapsto \left|2(2)/(5)-(-4(3)/(4))\right|`

`\\ \sf\longmapsto \left|2(2)/(5)+4(3)/(4)\right|`

`\\ \sf\longmapsto \left|(12)/(5)+(19)/(4)\right|`

`\\ \sf\longmapsto \left|(48+95)/(20)\right|`

`\\ \sf\longmapsto \left|(143)/(20)\right|`

`\\ \sf\longmapsto \left|7(3)/(20)\right|`

`\\ \sf\longmapsto 7(3)/(20)`

Answer 2

• 7 3/20

Explanation:

The distance is the absolute value of the difference of the coordinates:

• 2 2/5 - (-4 3/4) =
• 2 2/5 + 4 3/4 =
• 6 + 2/5 + 3/4 =
• 6 + 8/20 + 15/20 =
• 6 23/20 =
• 7 3/20